Entropy estimates for geodesic flows

P. Sarnak

doi:10.1017/S0143385700001747

Entropy estimates for geodesic flows

P. Sarnak

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

Let M be a compact Riemannian manifold of (variable) negative curvature. Let h be the topological entropy and h_μ the measure entropy for the geodesic flow on the unit tangent bundle to M. Estimates for h and h^μ in terms of the ‘geometry’ of M are derived. Connections with and applications to other geometric questions are discussed.

Original language	English (US)
Pages (from-to)	513-524
Number of pages	12
Journal	Ergodic Theory and Dynamical Systems
Volume	2
Issue number	3-4
DOIs	https://doi.org/10.1017/S0143385700001747
State	Published - Dec 1982
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1017/S0143385700001747

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title = "Entropy estimates for geodesic flows",

abstract = "Let M be a compact Riemannian manifold of (variable) negative curvature. Let h be the topological entropy and hμ the measure entropy for the geodesic flow on the unit tangent bundle to M. Estimates for h and hμ in terms of the {\textquoteleft}geometry{\textquoteright} of M are derived. Connections with and applications to other geometric questions are discussed.",

author = "P. Sarnak",

year = "1982",

month = dec,

doi = "10.1017/S0143385700001747",

language = "English (US)",

volume = "2",

pages = "513--524",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

number = "3-4",

}

TY - JOUR

T1 - Entropy estimates for geodesic flows

AU - Sarnak, P.

PY - 1982/12

Y1 - 1982/12

N2 - Let M be a compact Riemannian manifold of (variable) negative curvature. Let h be the topological entropy and hμ the measure entropy for the geodesic flow on the unit tangent bundle to M. Estimates for h and hμ in terms of the ‘geometry’ of M are derived. Connections with and applications to other geometric questions are discussed.

AB - Let M be a compact Riemannian manifold of (variable) negative curvature. Let h be the topological entropy and hμ the measure entropy for the geodesic flow on the unit tangent bundle to M. Estimates for h and hμ in terms of the ‘geometry’ of M are derived. Connections with and applications to other geometric questions are discussed.

UR - https://www.scopus.com/pages/publications/0040449656

UR - https://www.scopus.com/inward/citedby.url?scp=0040449656&partnerID=8YFLogxK

U2 - 10.1017/S0143385700001747

DO - 10.1017/S0143385700001747

M3 - Article

AN - SCOPUS:0040449656

SN - 0143-3857

VL - 2

SP - 513

EP - 524

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 3-4

ER -

Entropy estimates for geodesic flows

Abstract

All Science Journal Classification (ASJC) codes

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